Generally yes. Sometimes you run into complications such as not enough space in the box to connect up the new wires coming in.
Original BX cable is not code compliant. Its spiral sheath is not a good and sufficient ground. Nowadays, most spiral wrapped cabling must have a straight grounding strip or wire running through it.
The average homeowner who lost his house in the Oklahoma tornadoes should move for good and not rebuild. Too much complexity watchdogging the contractor. Too much a chance to be defrauded.